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A non-linear utility theory with multiple objectives

✍ Scribed by W.K. Brauers


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
125 KB
Volume
7
Category
Article
ISSN
1057-9214

No coin nor oath required. For personal study only.

✦ Synopsis


The aim of this paper is to make optimum several objectives at the same time which would enable a measurement of utility for several possible alternatives. The problem is solved if a strong or weak dominance exists between the alternatives, otherwise a set of incomparable alternatives would be present. Therefore, indifference curve analysis offers the outcome but as these indifference loci are difficult to determine only the characteristics of this analysis are maintained 6iz. decreasing marginal utility, non-linearity and even non-convexity. Indifference and reference point theory with the Minkowski min-max-metric only respond to these characteristics. Also the problem of generating alternatives during the process is taken into consideration.


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